{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import json\n",
    "import math"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Check if there is any relationship between entropy (of logits) and delta\n",
    "# No apparent correlation here\n",
    "\n",
    "for i in range(200):\n",
    "\tplt.scatter(d_list[i], ent_list[i])\n",
    "\tplt.xlabel(\"delta\")\n",
    "\tplt.ylabel(\"entropy\")\n",
    "output_tks = [val.lstrip() for val in output_tks]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.1035\n"
     ]
    }
   ],
   "source": [
    "## Get the percentage of punctuations\n",
    "\n",
    "import spacy\n",
    "nlp = spacy.load(\"en_core_web_sm\")\n",
    "pos_cls = []\n",
    "pos_tks = []\n",
    "cnt = 0\n",
    "for token in output_tks:\n",
    "    doc = nlp(token)\n",
    "    flag = 0\n",
    "    for i in range(len(doc)):\n",
    "        if doc[i].text == token:\n",
    "            if doc[i].pos_ == 'PUNCT':\n",
    "                cnt += 1\n",
    "            pos_cls.append(doc[i].pos_)\n",
    "            pos_tks.append(token)\n",
    "            flag = 1\n",
    "            if i != 0:\n",
    "                print(i)\n",
    "            break\n",
    "    if flag == 0:\n",
    "        pos_cls.append('NA')\n",
    "print(cnt/2000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1888\n"
     ]
    }
   ],
   "source": [
    "## Get POS tag for each token, only consider the tokens that has a valid POS tag\n",
    "\n",
    "pos_cls_all = []\n",
    "pos_cls = []\n",
    "pos_tks = []\n",
    "d_list_pos, g_list_pos = [], []\n",
    "cnt = 0\n",
    "\n",
    "for sen in range(10):\n",
    "\tsen_tks = output_tks[200 * sen: 200 * (sen + 1)]\n",
    "\tsen_d_list = d_list[200 * sen: 200 * (sen + 1)]\n",
    "\tsen_g_list = g_list[200 * sen: 200 * (sen + 1)]\n",
    "\tdoc = nlp(' '.join(sen_tks))\n",
    "\tfor token in doc:\n",
    "\t\tpos_cls_all.append(token.pos_)\n",
    "\ti = 0\n",
    "\tfor j in range(200):\n",
    "\t\tif doc[i].text == sen_tks[j]:\n",
    "\t\t\tpos_cls.append(doc[i].pos_)\n",
    "\t\t\tpos_tks.append(sen_tks[j])\n",
    "\t\t\td_list_pos.append(sen_d_list[j])\n",
    "\t\t\tg_list_pos.append(sen_g_list[j])\n",
    "\t\t\ti += 1\n",
    "\t\telse:\n",
    "\t\t\tfor inc in range(6):\n",
    "\t\t\t\tif i + inc < len(doc) and doc[i + inc].text == sen_tks[j]:\n",
    "\t\t\t\t\ti = i + inc\n",
    "\t\t\t\t\tpos_cls.append(doc[i].pos_)\n",
    "\t\t\t\t\tpos_tks.append(sen_tks[j])\n",
    "\t\t\t\t\td_list_pos.append(sen_d_list[j])\n",
    "\t\t\t\t\tg_list_pos.append(sen_g_list[j])\n",
    "\t\t\t\t\t# cnt += 1\n",
    "print(len(pos_cls))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "dict_keys(['NOUN', 'PUNCT', 'VERB', 'ADP', 'DET', 'PROPN', 'PRON', 'ADJ', 'AUX', 'ADV'])\n"
     ]
    }
   ],
   "source": [
    "## Prepare for plotting\n",
    "\n",
    "from collections import defaultdict\n",
    "\n",
    "delta_by_class = defaultdict(list)\n",
    "for value, cls in zip(d_list_pos, pos_cls):\n",
    "    delta_by_class[cls].append(value)\n",
    "gamma_by_class = defaultdict(list)\n",
    "for value, cls in zip(g_list_pos, pos_cls):\n",
    "    gamma_by_class[cls].append(value)\n",
    "\n",
    "## Remove the unfrequent POS tags\n",
    "for cls in ['CCONJ', 'NUM', 'PART', 'SCONJ', 'X', 'INTJ', 'SYM']:\n",
    "    del delta_by_class[cls]\n",
    "    del gamma_by_class[cls]\n",
    "delta_by_class = dict(sorted(delta_by_class.items(), key=lambda item: -len(item[1])))\n",
    "gamma_by_class = dict(sorted(gamma_by_class.items(), key=lambda item: -len(item[1])))\n",
    "\n",
    "keys = delta_by_class.keys()\n",
    "print(keys)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from matplotlib.patches import Patch\n",
    "import json\n",
    "\n",
    "positions_delta = [0.2 + inc * 0.6 for inc in range(len(keys))]\n",
    "positions_gamma = [0.4 + inc * 0.6 for inc in range(len(keys))]\n",
    "fig, ax1 = plt.subplots(figsize=(7,3))\n",
    "\n",
    "# Create the boxplot with labels\n",
    "boxplots = ax1.boxplot(delta_by_class.values(), patch_artist=True, widths=0.15, positions=positions_delta, flierprops={'marker': '.', 'markersize': 4})\n",
    "colors = ['blue'] * len(keys)\n",
    "for patch, color in zip(boxplots['boxes'], colors):\n",
    "    patch.set_facecolor(color)\n",
    "ax1.set_ylabel('Watermark Logit: 'r'$\\delta$', rotation=90, weight='bold')\n",
    "\n",
    "ax2 = ax1.twinx()\n",
    "boxplots = ax2.boxplot(gamma_by_class.values(), patch_artist=True, widths=0.15, positions=positions_gamma, flierprops={'marker': '.', 'markersize': 4})\n",
    "colors = ['pink'] * len(keys)\n",
    "for patch, color in zip(boxplots['boxes'], colors):\n",
    "    patch.set_facecolor(color)\n",
    "\n",
    "ax2.set_xticks([0.3 + inc * 0.6 for inc in range(len(keys))])\n",
    "ax2.set_xticklabels(keys, fontsize=12)\n",
    "ax2.set_ylabel('Splitting Ratio: '+r'$\\gamma$', rotation=90, weight='bold')\n",
    "\n",
    "legend_elements = [Patch(facecolor='blue', label='Watermark Logit: 'r'$\\delta$'),\n",
    "                   Patch(facecolor='pink', label='Splitting Ratio: ' + r'$\\gamma$')]\n",
    "legend = fig.legend(legend_elements, [h.get_label() for h in legend_elements], loc='upper right', framealpha=1.0, bbox_to_anchor=(0.9, 0.89))# fig.legend(legend_elements, [h.get_label() for h in legend_elements], loc='upper right', bbox_to_anchor=(1.15, 0.89))\n",
    "legend.set_zorder(100)\n",
    "# ax2.legend(handles=legend_elements, loc=\"upper right\")\n",
    "# plt.savefig('delta_gamma.pdf', dpi=600, bbox_inches='tight')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Transition heatmap from PUNCT, ADJ and DET. \n",
    "Based on the following heatmap, we can see ADJ and DET has high rate to follow by a noun, and the previous figure shows the watermark strength is low after ADJ and DET. So our algorithm learns to apply a weak watermark for noun, which boost semantic coherence."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1050x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "unique_classes = keys\n",
    "class_to_index = {cls: i for i, cls in enumerate(unique_classes)}\n",
    "num_classes = len(unique_classes)\n",
    "class_full_names = ['Full Name', 'Noun', 'Punctuation', 'Verb', 'Adposition', 'Determiner', 'Proper Noun', 'Pronoun', 'Adjective', 'Auxiliary Verb', 'Adverb']\n",
    "\n",
    "\n",
    "# Initialize transition matrix\n",
    "transition_matrix = np.zeros((num_classes, num_classes))\n",
    "del_cols = ['CCONJ', 'NUM', 'PART', 'SCONJ', 'X', 'INTJ', 'SYM','SPACE']\n",
    "# Count transitions using the mapped indices\n",
    "for i in range(len(pos_cls_all) - 1):\n",
    "    if (pos_cls_all[i] not in del_cols) and (pos_cls_all[i+1] not in del_cols):\n",
    "        current_class_index = class_to_index[pos_cls_all[i]]\n",
    "        next_class_index = class_to_index[pos_cls_all[i + 1]]\n",
    "        transition_matrix[current_class_index, next_class_index] += 1\n",
    "\n",
    "# Calculate probabilities\n",
    "transition_probabilities = transition_matrix / np.sum(transition_matrix, axis=1, keepdims=True)\n",
    "new_tran_matrix = [transition_probabilities[i] for i in [1,4,7]]\n",
    "# print(transition_probabilities)\n",
    "# Plot heatmap\n",
    "fig, (ax_heatmap, ax_legend) = plt.subplots(1, 2, gridspec_kw={'width_ratios': [6, 2.5]}, figsize=(10.5, 3))\n",
    "# plt.figure(figsize=(10, 8))\n",
    "heatmap = sns.heatmap(new_tran_matrix, ax=ax_heatmap, cbar=False, annot=True, cmap='YlGnBu', fmt=\".2f\", \n",
    "            xticklabels=unique_classes, yticklabels=[list(unique_classes)[i] for i in [1,4,7]])\n",
    "ax_heatmap.set_title(\"POS Tag Transition Heatmap\", weight='bold', fontsize=14)\n",
    "ax_heatmap.set_xlabel(\"POS Tag of the Current Token\", fontsize=13)\n",
    "ax_heatmap.set_ylabel(\"POS Tag of the Preceding Token\", fontsize=13)\n",
    "\n",
    "cell_text = [[name] for name in class_full_names]\n",
    "table = ax_legend.table(cellText=cell_text, rowLabels=[\"POS Tag\"]+list(unique_classes), loc='center')\n",
    "\n",
    "cell_height = 0.1  # Adjust cell height\n",
    "table.auto_set_font_size(False)\n",
    "table.set_fontsize(11.5)\n",
    "for key, cell in table.get_celld().items():\n",
    "    cell.set_height(cell_height)\n",
    "    if key[0] == 0:  # Make the first row bold\n",
    "        cell.get_text().set_weight('bold')\n",
    "ax_legend.axis('off')  # Turn off the axis\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "proteinchat",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
